International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.3, Jun. 2015, Pub. Date: May 20, 2015
Numerical Analysis of the Existence and Stability of Spherical Crystals Growing in a Supersaturated Solution
Pages: 132-140 Views: 1182 Downloads: 373
Authors
[01] Mohammad Shafique, Department of Mathematics, Gomal University, Dera Ismail Khan, Pakistan.
Abstract
The growth of a spherical amorphous crystal in supersaturated melt is analyzed numerically. The model problem is written in a scaled form which is suitable for numerical solution. Critical radii for the onset of instability to Yl, m bumps are obtained through simulation. These numerical results agree with those obtained previously for limiting values (very small and very large) of the super saturation. Moreover they show that the usual sequence of instabilities (Yl, m followed by Yl+1, m bumps) predicted by the classic Mullins and Sekerka model (valid only for small super saturation) breaks down for large super saturation.
Keywords
Numerical Analysis, Spherical Crystal, Supersaturated Solution
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